English
Related papers

Related papers: A Formula for Multi-Loop 4-Particle Amplitude in S…

200 papers

Multiloop scattering amplitudes describing the quantum fluctuations at high-energy scattering processes are the main bottleneck in perturbative quantum field theory. The loop-tree duality is a novel method aimed at overcoming this…

We expose simple and practical relations between the integrated four- and five-point one-loop amplitudes of N >= 4 supergravity and the corresponding (super-)Yang-Mills amplitudes. The link between the amplitudes is simply understood using…

High Energy Physics - Theory · Physics 2013-05-29 Z. Bern , C. Boucher-Veronneau , H. Johansson

We consider the finite part of the leading local interactions in the low energy expansion of the four graviton amplitude from the ladder skeleton diagrams in maximal supergravity on T^2, at three and four loops. At three loops, we express…

High Energy Physics - Theory · Physics 2015-09-30 Anirban Basu

One-loop amplitudes are to a large extent determined by their unitarity cuts in four dimensions. We show that the remaining rational terms can be obtained from the ultraviolet behaviour of the amplitude, and determine universal form factors…

High Energy Physics - Phenomenology · Physics 2010-10-27 T. Binoth , J. Ph. Guillet , G. Heinrich

We make an ansatz for the Mellin representation of the four-point amplitude of half-BPS operators of arbitrary charges at order $\lambda^{-\frac{5}{2}}$ in an expansion around the supergravity limit. Crossing symmetry and a set of…

High Energy Physics - Theory · Physics 2023-08-14 J. M. Drummond , H. Paul , M. Santagata

We calculate the chiral string amplitude in pure spinor formalism and take four point amplitude as an example. The method could be easily generalized to $N$ point amplitude by complicated calculations. By doing the usual calculations of…

High Energy Physics - Theory · Physics 2017-02-24 Yuqi Li , Warren Siegel

We review recent progress on the calculation of scattering amplitudes in the high-energy limit. We start by illustrating the shockwave formalism, which allows one to calculate amplitudes as iterated solutions of rapidity evolution…

High Energy Physics - Phenomenology · Physics 2021-11-10 Leonardo Vernazza , Giulio Falcioni , Einan Gardi , Niamh Maher , Calum Milloy

We consider the S-matrix of transverse scalar excitations on an infinite $D=10$ GS superstring and $D=11$ supermembrane in flat target space. We compute the 4-particle scattering amplitude in the 2-loop approximation and demonstrate that,…

High Energy Physics - Theory · Physics 2025-09-16 M. Beccaria , R. Roiban , A. A. Tseytlin

We derive from ambitwistor strings new formulae for two-loop scattering amplitudes in supergravity and super-Yang-Mills theory, with any number of particles. We start by constructing a formula for the type II ambitwistor string amplitudes…

High Energy Physics - Theory · Physics 2018-12-18 Yvonne Geyer , Ricardo Monteiro

We study the three-particle and four-particle scattering amplitudes for an arbitrary, finite number of massive scalars, spinors and vectors by employing the on-shell massive spinor formalism. We consider the most general three-particle…

High Energy Physics - Theory · Physics 2022-12-02 Da Liu , Zhewei Yin

The contribution from even spin structures to the genus-two amplitude for five massless external NS states in Type II and Heterotic superstrings is evaluated from first principles in the RNS formulation. Using chiral splitting with the help…

High Energy Physics - Theory · Physics 2022-07-26 Eric D'Hoker , Oliver Schlotterer

We present a calculation of the rational terms in two-loop all-plus gluon amplitudes using $D$-dimensional unitarity. We use a conjecture of separability of the two loops, and then a simple generalization of one-loop $D$-dimensional…

High Energy Physics - Phenomenology · Physics 2022-06-30 David A. Kosower , Sebastian Pögel

In this paper, we derive the Carrollian amplitude in the framework of bulk reduction. The Carrollian amplitude is shown to relate to the scattering amplitude by a Fourier transform in this method. We propose Feynman rules to calculate the…

High Energy Physics - Theory · Physics 2024-07-31 Wen-Bin Liu , Jiang Long , Xiao-Quan Ye

This talk describes a proposal, due to Hull, for a conformally invariant limit of superstring theory in six dimensions.

High Energy Physics - Theory · Physics 2007-05-23 John H. Schwarz

We apply the localization technique to compute the free energy on four-sphere and the circular BPS Wilson loop in the four-dimensional $\cal N$=2 superconformal $Sp(2N)$ gauge theory containing vector multiplet coupled to four…

High Energy Physics - Theory · Physics 2023-08-28 M. Beccaria , G. P. Korchemsky , A. A. Tseytlin

We study integrals appearing in one-loop amplitudes in string theory, and in particular their analytic continuation based on a string theoretic analog of the $i\varepsilon$-prescription of quantum field theory. For various zero- and…

High Energy Physics - Theory · Physics 2024-11-06 Jan Manschot , Zhi-Zhen Wang

String theory and supersymmetry are theoretical ideas that go beyond the standard model of particle physics and show promise for unifying all forces. After a brief introduction to supersymmetry, we discuss the prospects for its experimental…

High Energy Physics - Theory · Physics 2008-11-26 John H. Schwarz , Nathan Seiberg

Factorization of string amplitudes is one way of constructing string interaction vertices. We show that correlation functions in string theory can be conveniently factorized using loop variables representing delta functionals. We illustrate…

High Energy Physics - Theory · Physics 2015-06-26 B. Sathiapalan

We provide a simple analytic formula for the two-loop six-point ratio function of planar N = 4 super Yang-Mills theory. This result extends the analytic knowledge of multi-loop six-point amplitudes beyond those with maximal helicity…

High Energy Physics - Theory · Physics 2015-06-03 Lance J. Dixon , James M. Drummond , Johannes M. Henn

This talk deals with the old problem of formulatingn a covariant quantum theory of superstrings, ``covariant'' here meaning having manifest Lorentz symmetry and supersymmetry. The advantages and disadvantages of several quantization methods…

High Energy Physics - Theory · Physics 2015-06-26 Martin Cederwall